GAP Package AtlasRep

AtlasRep Info for 3.Suz

→ ATLAS page for 3.Suz

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Representations for G = 3.Suz: (all refer to std. generators 1)

1	G ≤ Sym(5346)	rank 7, on cosets of G2(4) < 3 × G2(4)
2	G ≤ Sym(98280)	rank 14, on cosets of U5(2) < 3 × U5(2)
3	G ≤ Sym(405405)	rank 23, on cosets of 21+6−.U4(2) < 3 × 21+6−.U4(2)
5	G ≤ GL(12a,4)
6	G ≤ GL(66a,4)
7	G ≤ GL(429a,4)
8	G ≤ GL(825a,4)
9	G ≤ GL(825b,4)
10	G ≤ GL(66a,25)

Programs for G = 3.Suz:

• maxes (all 17):

  1	3 × G2(4)
  2	32.U4(3).23'
  3	3 × U5(2)
  4	3 × 21+6−.U4(2)
  5	36.M11
  6	3 × J2.2
  7	3 × 24+6.3A6
  8	(A4 × 3.L3(4)).2
  9	3 × 22+8:(A5 × S3)
  10	3 × M12.2
  11	3.32+4:2(A4 × 22).2
  12	(3.A6 × A5):2
  13	(31+2:4 × A6).2
  14	3 × L3(3).2
  15	3 × L3(3).2
  16	3 × L2(25)
  17	3.A7

File created automatically by GAP on 22-Apr-2022.